Finite orthogonal geometries with characteristic ≠ 2 and PBIB designs. I

Autor:	Wandi Wei, Benfu Yang
Rok vydání:	1990
Předmět:	Discrete mathematics Transitive relation Numerical Analysis Orthogonal geometry Association scheme Algebra and Number Theory Orthogonality Finite geometry Discrete Mathematics and Combinatorics Incomplete block design Geometry and Topology Linear subspace Mathematics
Zdroj:	Linear Algebra and its Applications. 134:1-23
ISSN:	0024-3795
DOI:	10.1016/0024-3795(90)90002-t
Popis:	The conjugation relation among the subspaces of a finite orthogonal geometry with characteristic≠ 2 and its properties are studied. Then they are used to find relations between some enumeration formulas for the subspaces of the orthogonal geometry, to prove a type of transitivity of the orthogonal groups, to construct PBIB designs and BIB designs, and to establish the isomorphisms between some known PBIB designs.
Databáze:	OpenAIRE
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